document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019596>Question 1019596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 3^x+1=100.<BR>\n" );
document.write( "okay i'm getting 3.192 But my answer choices are different so can someone help me? \r<BR>\n" );
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document.write( "My answer choices are in the link below please copy and paste the link below to see! Thanks\r<BR>\n" );
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document.write( "link ; http://prntscr.com/a2w2c0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635545 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 3^{x+1} = 100\">, take the log base 3 of both sides to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x+1 = \log_3 {100} \Rightarrow x = \log_3{100} - 1\">\r<BR>\n" );
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document.write( "It's not immediate from the answer choices, but you can obtain the correct answer (which is actually A) by rewriting the value for x as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \frac{\log_{10} {100}}{\log_{10} {3}} - 1\"> (using change-of-base). <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \log_{10} {100} = 2\">, so the expression is equivalent to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \frac{2}{\log_{10}{3}} - 1 = \frac{2 - \log_{10}{3}}{\log_{10}{3}\">, or choice A.\r<BR>\n" );
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